Abstract
The results of a fully-resolved simulation of 1,024 particles settling under gravity in a periodic domain are described and analyzed. The particle volume fraction is about 13% and the single-particle terminal Reynolds number is about 10. Collisions are modelled as completely elastic. The results show that the formation of nearly-horizontal particle pairs is an important phenomenon which affects the mean settling velocity as well as the velocity fluctuations.
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Patankar, N., Singh, P., Joseph, D., Glowinski, R. and Pan, T.W., 2000, Int. J. Multiphase Flow 26, 1509–1524.
Singh, P., Hesla, T. and Joseph, D., 2001, Int. J. Multiphase Flow 29, 495–509.
Dong, S., Liu, D., Maxey, M.R. and Karniadakis, G.E., 2004, J. Comput. Phys. 195, 695–717.
Johnson, A., Tezduyar, T., 1997, Comp. Meth. Appl. Mech. Engng. 145, 301–321.
Takiguchi, S., Kajishima, T. and Miyake, Y., 1999, JSME Int. J. B42, 411–418
Fadlun, E.A., Verzicco, R., Orlandi, P. and Yusof, J.M., 2000, J. Comput. Phys. 161, 35–60.
Li, Z. and Lai, M.C., 2001, J. Comput. Phys. 171, 822–842.
Kim, J., Kim, D. and Choi, H., 2001, J. Comput. Phys. 171, 132–150.
Gilmanov, A., Sotiropoulos, F. and Balaras, E., 2003, J. Comput. Phys. 191, 660–669.
Tseng, Y.H. and Ferziger, J., 2003, J. Comput. Phys. 192, 593–623.
Balaras, E., 2004, Comput. & Fluids 33, 375–404
Gilmanov, A. and Sotiropoulos, F., 2005, J. Comput. Phys. 207, 457–492.
Udaykumar, H.S., Mittal, R., Rampunggoon, P. and Khanna, A., 2001, J. Comput. Phys. 174, 345–380.
Chen, S. and Doolen, G., 1998, Annu. Rev. Fluid Mech. 30, 329–364.
Aidun, C.K., Lu, Y. and Ding, E.J., 1998, J. Fluid Mech. 37i3, 287–311.
Hill, R.J. and Koch, D.L., 2002, J. Fluid Mech. 465, 59–97.
Feng, Z.G. and Michaelides, E.E., 2004, J. Comput. Phys. 195, 602–628.
Feng, Z.G. and Michaelides, E.E., 2005, J. Comput. Phys. 202, 20–51.
Takagi, S., Oguz, H., Zhang, Z. and Prosperetti, A., 2003, J. Comput. Phys. 187, 371–390.
Zhang, Z. and Prosperetti, A., 2003, J. Appl. Mech. 70, 64–74.
Zhang, Z. and Prosperetti, A., 2005, J. Comput. Phys. 210, 292–324.
Lamb, H., 1932, Hydrodynamics, 6th edition, Cambridge University Press, Cambridge.
Kim, S. and Karrila, S., 1991, Microhydrodynamics, Butterworth-Heinemann, Boston.
Brown, D., Cortez, R. and Minion, M., 2001, J. Comput. Phys. 168, 464–499.
Marchioro, M., Tanksley, M. and Prosperetti, A., 2000, Int. J. Multiphase Flow 26, 783–831.
Ichiki, K. and Prosperetti, A, 2004, Phys. Fluids 16, 2483–2496.
Richardson, J. and Zaki, W., 1954, Trans. Inst. Chem. Engrs. 32, 35–53.
Di Felice, R. and Kehlenbeck, R., 2000, Chem. Eng. Technol. 23, 1123–1126.
Kuusela, E., Lahtinen, J.M. and Ala-Nissila, T., 2004, Phys. Rev. E 69, 066310.
Parthasarathy, R. and Faeth, G., 1990, J. Fluid Mech. 220, 515–537.
Wylie, J.J. and Koch, D.L., 2000, Phys. Fluids 12, 964–970.
Ladd, A., 1997, Phys. Fluids 9, 491–499.
Wu, J. and Manasseh, R., 1998, Int. J. Multiphase Flow 22, 285–306.
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Zhang, Z.Z., Botto, L., Prosperetti, A. (2006). Microstructural Effects in a Fully-Resolved Simulation of 1,024 Sedimenting Spheres. In: Balachandar, S., Prosperetti, A. (eds) IUTAM Symposium on Computational Approaches to Multiphase Flow. Fluid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4977-3_20
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DOI: https://doi.org/10.1007/1-4020-4977-3_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4976-7
Online ISBN: 978-1-4020-4977-4
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